Definition: In this task, you are given inputs i,j, and A, where i and j are integers and A is a list. You need to return the sum of all the numerical elements in the list A between the positions i and j (including positions i and j). Return 0 if no numerical element is present in the list between the given ranges. i and j will be non-negative, and will always have a value less than the length of A. i will always be less than j.
Input: 12, 14, ['2851', '7729', '6041', 't', 'N', '7607', 'm', '7539', '8165', '1645', 'i', 'n', '9957', 't', '407', '7387', '9643']

9957